To determine which set of fabric prices shows a price of \[tex]$1.25 per square yard, let's analyze each set of prices step by step.
### First Set of Prices:
Given:
\[
\begin{array}{|l|c|c|c|c|}
\hline \text{Square Yards} & 1 & 2 & 3 & 4 \\
\hline \text{Price} & \$[/tex]1.25 & \[tex]$2.00 & \$[/tex]2.75 & \[tex]$3.50 \\
\hline
\end{array}
\]
We need to calculate the price per square yard for each quantity:
- For 1 square yard: \(\frac{\$[/tex]1.25}{1} = \[tex]$1.25\) per square yard
- For 2 square yards: \(\frac{\$[/tex]2.00}{2} = \[tex]$1.00\) per square yard
- For 3 square yards: \(\frac{\$[/tex]2.75}{3} \approx \[tex]$0.92\) per square yard
- For 4 square yards: \(\frac{\$[/tex]3.50}{4} = \[tex]$0.875\) per square yard
So, the calculated prices per yard for the first set are:
\[
[1.25, 1.00, 0.92, 0.875]
\]
### Second Set of Prices:
Given:
\[
\begin{array}{|l|c|c|c|c|}
\hline \text{Square Yards} & 1 & 2 & 3 & 4 \\
\hline \text{Price} & \$[/tex]0.25 & \[tex]$1.25 & \$[/tex]2.25 & \[tex]$3.25 \\
\hline
\end{array}
\]
We need to calculate the price per square yard for each quantity:
- For 1 square yard: \(\frac{\$[/tex]0.25}{1} = \[tex]$0.25\) per square yard
- For 2 square yards: \(\frac{\$[/tex]1.25}{2} = \[tex]$0.625\) per square yard
- For 3 square yards: \(\frac{\$[/tex]2.25}{3} = \[tex]$0.75\) per square yard
- For 4 square yards: \(\frac{\$[/tex]3.25}{4} = \[tex]$0.8125\) per square yard
So, the calculated prices per yard for the second set are:
\[
[0.25, 0.625, 0.75, 0.8125]
\]
### Conclusion:
To determine if any of the sets consistently show a price of \$[/tex]1.25 per square yard:
- The first set has prices per yard of [1.25, 1.00, 0.92, 0.875], which are not all \[tex]$1.25.
- The second set has prices per yard of [0.25, 0.625, 0.75, 0.8125], which are also not all \$[/tex]1.25.
Therefore, neither of the sets consistently shows a price of \[tex]$1.25 per square yard. The correct answer is that there is no set that shows a consistent price of \$[/tex]1.25 per square yard.
